但几种特殊类型的定积分的计算却是难点。
However, some kinds of special type of definite integrals are difficult to calculate.
定积分换元法是定积分计算的主要方法之一。
The method of the definite integral by substitution is one of the main techniques among the definite integral calculation.
本文推广和改进了定积分近似计算的矩形公式。
In this paper, we extend and improve the rectangle formula of definite integrals 'approximate calculation.
本文给出了计算三角复合函数的定积分的若干方法。
In this paper we obtain several theorem of the definite integral of triangle composite function.
定积分范围。
本文给出了用定积分的分部积分法求解二重积分的一种方法。
This paper gives a method to solve double integration by integral subsection integration.
借助于一个积分恒等式，给出了几道定积分选择题的一种求解方法。
By using a definite integral identical formula, a solution to some multiple-choice questions of definite integral is given.
证明了含有积分型余项的泰勒公式，并举例说明了其在定积分中的应用。
Taylor's formula with integral remainder term is approved and applied to definite integrals through some examples.
本文研究了均值不等式在简化初等不等式证明及定积分等方面的一些应用。
Here some applications of average value inequality on the proof of inequality and integral are presented.
积分上限函数加强了微分和积分之间的联系，是定积分基本公式的理论基础。
The integral upper limit function strengthened between the differential and the integral relation, is the definite integral fundamental formula rationale.
对称区间上的定积分和一类非对称区间上的定积分，均可用对称原理简便计算。
The paper discusses the use of symmetry principle in the evaluating of definite integrals on both the symmetric interval and non-symmetric interval.
本文给出了定积分的几个较简单的定义，并证明这些定义均与黎曼积分定义等价。
In this paper we give some simpler definitions of definite integral, and show that they are all equivalent to the definition of Riemann integral.
它的实质是以轨道要素的平均变化率为基础的微分方程，而方程的右端包含定积分。
The essence of this method is a group of differential equations based on the average change rate of orbit elements, and the right sides of these equations contain definite integrals.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
该定积分可用MATLAB提供的积分函数计算，或者利用蒙特卡罗方法通过编程求解。
The definite integral can be calculated with the integration function in MATLAB or can be solved by using the Monte Carlo programming method.
对X光晶体学直接法中的毗邻理论联合概率标准化定积分的定义做了必要的讨论和扩充。
In this paper, the necessary discussion and extension are made on the standardized definite integral definition of joint probability of neighborhood theory in direct methods of X-ray crystallography.
该方法根据模糊控制规则和实际工程经验，在基本模糊控制的基础上增加了一个系数自整定积分器。
In this method the self-adjusting integrator is adopted together with basic fuzzy control, according to the fuzzy control rule and practical experience.
在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。
Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.
数值计算结果证明，该算法可以快速计算通常意义下任意函数的定积分，并能计算振荡函数的积分。
Numerical experimental results prove that the algorithm can compute integral for any functions in the usual sense, and compute oscillation function integral.
分段函数是函数问题中难点，本文就分段函数在分界点的极限，导数、定积分的运算问题探讨一些新方法。
This text will talk about some new methods about the limit of disjunction function in the boundary and the operation of lead number and definite integral.
本文利用定积分的性质、微分中值定理、施瓦兹不等式、二重积分等内容，研究了积分不等式的四种证法。
This article explores the four ways for solving integral inequality with the nature of definite integral, mean value theorem of differentials, Schwarz inequality and double integral.
对于定积分近似计算中常使用的经典SIMPSON求积公式介绍一种新的简洁的证明方法并给出误差的最佳估计。
We introduced a new and simple proof of the classical SIMPSON quadrature formula which is frequently applied in calculating definite integrals and best estimation of error is obtained.
定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。
Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.
第二换元积分法是求函数不定积分的一种重要方法，具有一定的适用范围，对某些无理函数的积分的求解通常使用该方法。
The integration by second substitution is an important method of calculating indefinite integral, it has a certain application, it usually applies to calculate some integrals of irrational function.
文章研究了第一型曲线积分中值定理“中间点”的渐近性，获得了一些重要结果，得出它也是定积分中值定理相应结果的推广。
This paper discusses the asymptotic property of the Mid-point of the mean theorem for first form curvilinear integral.
针对在定积分应用的微元法教学过程中，就如何阐明微元法的来源、理论依据以及在实际应用中需注意的问题等进行初步的探讨。
The author makes an initial discussion on how to clarify the origin and theoretical basis of infinitesimal method during the teaching of this very method in the application of definite integral.
针对在定积分应用的微元法教学过程中，就如何阐明微元法的来源、理论依据以及在实际应用中需注意的问题等进行初步的探讨。
The author makes an initial discussion on how to clarify the origin and theoretical basis of infinitesimal method during the teaching of this very method in the application of definite integral.
应用推荐